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Finding the Fourth Proportional to 212,072, 292,653.12 and 121,424.96

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Solution

The fourth proportional to 212,072, 292,653.12 and 121,424.96 is: 167,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,072 : 292,653.12 = 121,424.96 : x
  2. Step 2: Convert to fraction form
    212,072/292,653.12 = 121,424.96/x
  3. Step 3: Cross multiply
    212,072x = 292,653.12 × 121,424.96
  4. Step 4: Simplify right side
    212,072x = 35,535,393,389.88
  5. Step 5: Solve for x
    x = 35,535,393,389.88/212,072
  6. Step 6: Final answer
    x = 167,562.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.